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Finding the Fourth Proportional to 14,264.62, 21,398.20 and 3,734.62

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Solution

The fourth proportional to 14,264.62, 21,398.20 and 3,734.62 is: 5,602.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,264.62 : 21,398.20 = 3,734.62 : x
  2. Step 2: Convert to fraction form
    14,264.62/21,398.20 = 3,734.62/x
  3. Step 3: Cross multiply
    14,264.62x = 21,398.20 × 3,734.62
  4. Step 4: Simplify right side
    14,264.62x = 79,914,082.85
  5. Step 5: Solve for x
    x = 79,914,082.85/14,264.62
  6. Step 6: Final answer
    x = 5,602.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.